solve for M in the proportion below

Answer:

Step-by-step explanation:

Divide the numbers:

Answer:

[tex]60 \textdegree [/tex]

Skills needed: Geometry

Step-by-step explanation:

1) We are given a regular triangle.

A regular triangle is the same as an equilateral triangle. This means that:

--> All sides are of equal length (congruent)

--> All angles are of same measure (congruent)

-------------------------------------------------------------------------------------------------------------Another thing to remember is that the sum of all angles in a triangle is 180 DEGREES.

------------------------------------------------------------------------------------------------------------- 2) Let's make an equation:

Let's make one of the angles a variable: [tex]y[/tex]

ALL the angles of the triangle will have a measure of "[tex]y[/tex]", which means that each of the angles equals [tex]y[/tex].

---> Sum of all angles (IN VARIABLE TERMS): [tex]y+y+y=3y[/tex] (1y+1y+1y = 3y)

ALSO:

- Sum of all angles is 180. This can be the right side of the equation.

[tex]3y = 180[/tex] is our equation based on all the information above.

We want to then isolate [tex]"y"[/tex], so we have to divide by 3.

[tex]3y \div 3=180 \div 3[/tex]

[tex]3y \div 3=y, 180 \div 3 = 60[/tex] (doing both division problems)

This means that: [tex]y=60[/tex]

60 should be the answer.

Answer:

The sequence is not arithmetic.

Step-by-step explanation:

it goes 5,4,5,4 for the differences.

Answer:

56.55

Step-by-step explanation:

it is the answer because it is

Answer:

Complementary

Step-by-step explanation:

Adding angles ∠MIP and ∠PIL add up to 90° making the angles complementary.

You can take LCM and then can add to see what's the sum.

The sum result of given expressions is given by: [tex]\dfrac{5}{y+5}[/tex]

You can take LCM and then can add to see whats the sum.

[tex]\begin{aligned}\dfrac{3y}{y^2 + 7y + 10} + \dfrac{2}{y+2} &= \dfrac{3y}{(y+2)(y+5)} + \dfrac{2}{y+2}\\&= \dfrac{3y + 2(y+5)}{(y+2)(y+5)}\\&= \dfrac{5y+10}{(y+2)(y+5)}\\&= \dfrac{5(y+2)}{(y+2)(y+5)}\\&= \dfrac{5}{y+5}\\\end{aligned}[/tex]

Thus, the sum of given expressions is given by:

[tex]\dfrac{5}{y+5}[/tex]

Learn more about algebraic sums here:

https://brainly.com/question/14964662

Answer:

q

4566 less

Step-by-step explanation:

plese rate as brainlisr awnser

Answer:

x= -1/2, 3

Step-by-step explanation:

Move all terms to the left side and equal zero. Then factor.

Answer:

i believe 5 is 216.

Step-by-step explanation:

because the top, (3x2) = 6, and all the sides are equal on the bottom .

so 6 cubed

Answer:

t=large candles s=small candles

Step-by-step explanation:

3t + 5s = 6.40

4t + 6s = 7.50

This is your system of equations.

Answer:    3x + 3z - 1

Step-by-step explanation:

Answer:

3x + 3z - 1

Step-by-step explanation:

Group like terms: 2x + x + 3z + 5 - 6

Subtract the numbers: 5 - 6 = -1
=2x + x + 3z - 1

Add similar elements: 2x + x = 3x
=3x + 3z - 1

Answer:

31.42

Step-by-step explanation:

C=2πr

d= 2r

Solving for C

C = πd = π·10 ≈ 31.41593

Answer:

(a) 31.4 in (b) 37.68 mm

Step-by-step explanation:

a- The circumference of a circle of radius r - or diameter d, is,

C=2[tex]\pi r[/tex]=[tex]\pi d[/tex]

In this case, we have that the diameter of the circle is d = 10in. If we use 3.14 for π, the circumference is,

[tex]C=\pi xd=3.14x10in=31.4in[/tex]

b- - The question gives us a circle with a radius of 6mm and we are asked to find the circumference of the circle.

- To find the circumference of a circle, we simply need to apply the formula for finding the circumference of a circle.

- The formula for the circumference of a circle is:

C=2[tex]\pi [/tex]×r

where,

r=radius

C= circumference of the circle:

- Thus, we can find the circumference of the circle as follows

r= 6mm

[tex]\pi [/tex]=3.14

C=2×3.14× 6mm

C= 37.68mm

Final Answer

The circumference of the circle is 37.68 mm

Answer: The answer is either 90

Step-by-step explanation:

you multiply 15 by 12 then divide by 2 to get 90 brainliest plz??

Answer:

-1/2

Step-by-step explanation:

The rise is 2 and the run is -4

Answer:

slope of line e is -1/2

Step-by-step explanation:

line e crosses at coordinates y axis ( 0 , 5 )   x axis ( 10 , 0 )

using the formula find the gradient/ slope : y2 -y1 / x2 - x1  = 0 - 5 / 10 - 0 = -1/2

to find equation put any coordinates that fall on the line like:

y - 5 = -1/2(x -0)

y = -x/2 +5

Answer:

y = x/2 + 6

Step-by-step explanation:

to find the equation:first find two best coordinates: ( 0 , 6 ) , ( -12 , 0 )

now find slope:

[tex]\frac{y2 - y1}{x2-x1} [/tex]

[tex]\frac{0-6}{-12-0} [/tex]

[tex]\frac{1}{2} [/tex]

now find equation using

y = mx + b .........where m is gradient and b is y intercept

y = x/2 + 6

Answer: Y=1/2x+6

First we need to understand what Slope Intercept Form is

Slope Intercept form: y=mx+b

Now let's break down what each variable means in this formula

m = Slope

b = Y-intercept of the line

x & y will stay as variables in this situation

Now let's understand how to get the slope

Let's start at the point on the line at (0,6)

To get the slope we need to go the next point on the line which is (7,2)

We got to that point by going up the graph one time and over to the right two times.

Thus our slope is, 1/2

Hope I helped out!

Answer:

Step-by-step explanation:

Simply put, "a IS INCLUDED in set X" means that a is in set X. "a IS NOT INCLUDED in set X" means that a is not in the set

Answer:

x=4,  y=-2

Step-by-step explanation:

In the equation

x+2y=0

We isolate x so we just subtract 2y from both sides

x=-2y. Now we substitute that for x, in the second equation,

y-(-2y)y= 1/2(-2y)^2-2

y-( -2y^2)= 1/2(4y^2)-2

y+2y^2= 2y^2-2

y=-2

so plug that back in the first equation to solve for x.

x+2(-2)=0

x-4=0

x=4

So x=4 and y=-2

Answer:

60=14+14+16+16

Step-by-step explanation:

The equation; (L=w+2) or (w=L-2), where w is the width of the rectangle, can be used to solve this problem. The length of the rectangle is (16) inches and the width of the rectangle is (14) inches.

L= length

i got here by dividing 60 by four and getting 15 then to increase the length by two you take one from the width and add it to the length, and get 14 and 16.

The equation _60 = 2((w + 2) + w)_, where w is the width of the rectangle, can be used to solve this problem. The length of the rectangle is _16__ inches and the width of the rectangle is __14__ inches.

Mathematically, an equation can be defined as a statement that supports the equality of two expressions, which are connected by the equals sign “=”.

For example, 2x – 5 = 13.

Here,

2x – 5 and 13 are expressions

The sign that connects these two expressions is “=”.

Given,

length of triangle is 2 inches longer than the width.

Let width be w then length = w + 2

Perimeter of the rectangle = 60 inches

Perimeter = 2 (length + width)

60 = 2((w + 2) + w)

⇒ 60 = 2 (2w + 2)

⇒ 2w + 2 = 60/2

⇒ 2w + 2 = 30

⇒ 2w = 30 - 2

⇒ 2w = 28

⇒ w = 28/2

⇒ w = 14

Width = 14 inches

Length = w + 2 = 16 inches

Hence, with the equation 60 = 2((w + 2) + w),

length and width of the rectangle are 16 inches and 14 inches respectively.

Learn more about equation here:

#SPJ2

Answer:

13.5

Step-by-step explanation:

Jade=324/12=27

Mindy=324/8=40.5

40.5-27=13.5

Answer:

8 and 5

Step-by-step explanation:

Answer:

8 and 5

Step-by-step explanation:

Lol I did this problem yesterday

[tex]x+y=13\\y-x=3[/tex]

Use this and substitute like system of equations

[tex]x+y=13\\y=13-x\\[/tex]

Now substitute

[tex](13-x)-x=3\\13-2x=3\\-2x=-10\\x=5[/tex]

Now finish the job

[tex]5+y=13\\y=8[/tex]

Answer:

5

Step-by-step explanation:

The slope is 5 because for every 5 units, the graph increases, it advances to the right by 1 unit. Since slope is defined by change in y divided by change in x, the slope is 5/1 which is 5.

Hope this helps :)

Answer:

Step-by-step explanation:

hope this helps

Answer:

(+3, +2)

Step-by-step explanation:

The x coordinate went right 3 spaces and the y coordinate went up 2 spaces.

Answer:

x= 4.1

Step-by-step explanation:

The sum of the measures of the angles of any triangle is 180 degrees. In triangle abc, angles a and b have the same measure, while the measure of angle c is 78 degrees larger than each of a and b.

Answer:

x = 1, 5

Step-by-step explanation:

f(g(x)) = 2(x^2+2)-3

= 2x^2+4-3

= 2x^2+1

g(f(x)) = (2x-3)^2+2

= 4x^2-12x+9+2

= 4x^2-12x+11

f(g(x)) = g(f(x))

2x^2+1 = 4x^2-12x+11

2x^2 = 4x^2-12x+11-1

2x^2 = 4x^2-12x+10

x^2 = (4x^2-12x+10)/2

x^2 = 2x^2-6x+5

x^2-2x^2 = -6x+5

-x^2 = -6x+5

x^2+6x-5 = 0

(x-1)(x-5) = 0

x-1 = 0 or x-5 = 0

x = 1 or x = 5

x = 1, 5

Answer:

1 +  and a half = 1 in a half

Step-by-step explanation:

The numerator in the first fraction is closest to  

10, so the fraction is nearest to  1.

The numerator in the second fraction is closest to 3, so the fraction is nearest to one-half.

The value of the expression can be estimated as 1 +  one-half =  1 and one-half.